# How do you solve 1/x = 3.5?

Aug 29, 2016

$x = \frac{10}{35} = \frac{2}{7}$

#### Explanation:

The first thing we should notice is that the variable is in the denominator.
Luckily there is only one term on each side of the equation, so we can just invert each side. (make reciprocals).

$x = \frac{1}{3.5}$ (decimals and fractions together is not a good idea)

$x = \frac{1}{3.5} \times \frac{10}{10} = \frac{10}{35}$

$x = \frac{10}{35} = \frac{2}{7}$